A hollow sphere of radius 0.50 m, withrotational inertia I = 0.038 kgm2 about a line through its center of mass, rollswithout slipping up a surface inclined at 40° to the horizontal. At a certain initialposition, the sphere's total kinetic energy is 60 J.
a) How much of this initial kinetic energy is rotational?
b) What is the speed of the center of mass of the sphere at the initial position?
Now, the sphere moves 1.0 m up the incline from its initial position.
c) What is its total kinetic energy now?
d) What is the speed of its center of mass now?